Davies, Brian
This book presents elements of the theory of chaos in dynamical systems in a framework of theoretical understanding coupled with numerical and graphical experimentation. It describes the theory of fractals, focusing on the importance of scaling and ordinary differential equations.
Preface -- Introduction -- Orbits of One-Dimensional Systems -- Bufurcation in One-dimensional Systems -- Two-Dimensional Systems -- Fractals -- Non-Linear Oscillations -- Chaos for Java Software -- Discrete Fourier Transform -- Variational Equations -- List of Maps and Differential Equations
